Question

How would I find the fraction of the circle is each sector? Need explanation

Answer 1

Remember that

A complete circle subtends a central angle of 2л radians

so

Applying proportion

Find out how much represent a central angle of 5л/6 radians

1/2л=x/(5л/6)

solve for x

x=(5л/6)/2л

x=5л/12л

x=5/12

therefore

The fraction of the sector is 5/12 of the complete circle